Multiple choice

If the volume of a sphere is divided by its surface area, we obtain 27 cm. The radius of the sphere is

  1. 9 cm

  2. 81 cm

  3. 27 cm

  4. 24 cm
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Volume V = (4/3) * pi * r^3. Surface Area A = 4 * pi * r^2. V/A = ((4/3) * pi * r^3) / (4 * pi * r^2) = r/3. Given r/3 = 27, so r = 81 cm.

AI explanation

The volume of a sphere divided by its surface area is [(4/3) * pi * r^3] / [4 * pi * r^2]. This expression simplifies to r/3. Since the result is 27 cm, we have r/3 = 27, meaning the radius r is 81 cm.

Keep practicing — related questions